749646464 has 128 divisors (see below), whose sum is σ = 1783710720. Its totient is φ = 307077120.

The previous prime is 749646449. The next prime is 749646479. The reversal of 749646464 is 464646947.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (749646449) and next prime (749646479).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-4 number, since 4×749646464⁴ (a number of 37 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3805214 + ... + 3805410.

It is an arithmetic number, because the mean of its divisors is an integer number (13935240).

Almost surely, 2^749646464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749646464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891855360).

749646464 is an abundant number, since it is smaller than the sum of its proper divisors (1034064256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

749646464 is a wasteful number, since it uses less digits than its factorization.

749646464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 374 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 50.

The square root of 749646464 is about 27379.6724596917. The cubic root of 749646464 is about 908.4175145242.

The spelling of 749646464 in words is "seven hundred forty-nine million, six hundred forty-six thousand, four hundred sixty-four".